GCF of 871/298, 335/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 871/298, 335/289 i.e 67/86122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 871/298, 335/289.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 871/298,335/289?
Given fractions are 871/298,335/289
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 871/298,335/289, numerators are 871,335
Denominators are 298,289
The GCF of 871,335 is 67 .
LCM of 298,289 is 86122.
The greatest common factor of 871/298,335/289 = [GCF of 871,335]/[LCM of 298,289]= 67/86122
Therefore, the GCF of 871/298,335/289 is 67/86122.
To find the highest common factor of 871,335, we have to find the factors of both numbers and list the highest common factor.
The factors of 871 are 1, 13, 67, 871
The factors of 335 are 1, 5, 67, 335
The HCF of 871,335 is 67.
Lets's calculate GCF of 871,335
| 67 | 871, 335 |
| 13, 5 |
∴ So the GCF of the given numbers is 67 = 67
Greatest Common Factor of 871,335 By Matching Biggest Common Factor Method
Now, list down the factors of 871
:1,13,67,871
Now, list down the factors of 335
:1,5,67,335
Greatest Common Factor
We found the factors 871,335 . The biggest common factor number is the GCF number.
So the greatest common factor 871,335 is 67.
Lets's calculate LCM of 298,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 86122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/86122
Therefore, the GCF of Fractions 871/298,335/289 is 67/86122
Least Common Multiple of 298,289 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 298,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,289) x common factors =1 x 1 = 1
LCM(298,289) = ( 298 × 289 ) / 1
LCM(298,289) = 86122 / 1
LCM(298,289) = 86122
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FAQs on GCF of Fractions of 871/298, 335/289
1. What is the HCF of 871,335?
The HCF of 871,335 is 67
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 871/298, 335/289?
Answer: GCF of Numerators as per given numbers 871/298, 335/289 is
GCF of Numerators i.e. for 871,335 is 67
LCM of denominators i.e. for 298,289 is 86122.
Thus, GCF of Fractions is 67/86122.Finally, GCF of Fractions for 871/298, 335/289 is 67/86122.